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Finding the Fourth Proportional to 80.79, 121.17 and 23.00

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Solution

The fourth proportional to 80.79, 121.17 and 23.00 is: 34.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.79 : 121.17 = 23.00 : x
  2. Step 2: Convert to fraction form
    80.79/121.17 = 23.00/x
  3. Step 3: Cross multiply
    80.79x = 121.17 × 23.00
  4. Step 4: Simplify right side
    80.79x = 2,786.80
  5. Step 5: Solve for x
    x = 2,786.80/80.79
  6. Step 6: Final answer
    x = 34.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.